Question

Assume that a sample is used to estimate a population proportion p. Find the 90% confidence...

Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 247 with 146 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.

90% C.I. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Homework Answers

Answer #1

Solution :

Given that,

Point estimate = sample proportion = = x / n = 146 / 247 = 0.591

1 - = 1 - 0.591 = 0.409

Z/2 = 1.645

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 1.645 * (((0.591 * 0.409) / 247)

= 0.051

A 90% confidence interval for population proportion p is ,

- E < p < + E

0.591 - 0.051 < p < 0.591 + 0.051

0.540 < p < 0.642

90% C.I. = 0.540 , 0.642

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Assume that a sample is used to estimate a population proportion p. Find the 90% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 248 with 84 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 90% C.I. = _______________________ Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a sample of size 89 with 45 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 98% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 248 with 196 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 99.5% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a sample of size 108 with 25 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 98% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 80% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 80% confidence interval for a sample of size 276 with 43.8% successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 80% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 99 with 26.3% successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 99.5% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a sample of size 245 with 162 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 98% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 99% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 356 with 320 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 99% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
#7 Assume that a sample is used to estimate a population proportion p. Find the 95%...
#7 Assume that a sample is used to estimate a population proportion p. Find the 95% confidence interval for a sample of size 315 with 161 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places. 95% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Assume that a sample is used to estimate a population proportion p. Find the 90% confidence...
Assume that a sample is used to estimate a population proportion p. Find the 90% confidence interval for a sample of size 217 with 43 successes. Enter your answer as a tri-linear inequality using decimals (not percents) accurate to three decimal places. < p < Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places. can u show me the steps